Sr Examen
Otras calculadoras
- Derivada de una función implícitamente dada
- Derivada de una función paramétrica
- Derivada parcial de la función
- Análisis de la función gráfica
- Integrales paso a paso
- Ecuaciones diferenciales paso a paso
- Límites paso por paso
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¿Cómo usar?
- Derivada de:
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Derivada de (-4)/x^2
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Derivada de 2/x²
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Derivada de -2*y
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Derivada de (3+2x)/(x-5)
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Expresiones idénticas
- y=arctg(chx)+(chx)lnchx
- y es igual a arctg(chx) más (chx)lnchx
- y=arctgchx+chxlnchx
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Expresiones semejantes
- y=arctg(chx)-(chx)lnchx
- y=x*arctg(*chx)+(*chx)ln*chx
Derivada de y=arctg(chx)+(chx)lnchx
Solución
Ha introducido
[src]
atan(cosh(x)) + cosh(x)*log(cosh(x))
$$\log{\left(\cosh{\left(x \right)} \right)} \cosh{\left(x \right)} + \operatorname{atan}{\left(\cosh{\left(x \right)} \right)}$$
atan(cosh(x)) + cosh(x)*log(cosh(x))
Primera derivada
[src]
sinh(x)
------------ + log(cosh(x))*sinh(x) + sinh(x)
2
1 + cosh (x)
$$\log{\left(\cosh{\left(x \right)} \right)} \sinh{\left(x \right)} + \sinh{\left(x \right)} + \frac{\sinh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1}$$
Segunda derivada
[src]
2 2
cosh(x) sinh (x) 2*sinh (x)*cosh(x)
------------ + -------- + cosh(x)*log(cosh(x)) - ------------------ + cosh(x)
2 cosh(x) 2
1 + cosh (x) / 2 \
\1 + cosh (x)/
$$\log{\left(\cosh{\left(x \right)} \right)} \cosh{\left(x \right)} + \frac{\sinh^{2}{\left(x \right)}}{\cosh{\left(x \right)}} + \cosh{\left(x \right)} + \frac{\cosh{\left(x \right)}}{\cosh^{2}{\left(x \right)} + 1} - \frac{2 \sinh^{2}{\left(x \right)} \cosh{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}}$$
Tercera derivada
[src]
/ 2 2 2 2 2 \ | 1 sinh (x) 6*cosh (x) 2*sinh (x) 8*cosh (x)*sinh (x) | |4 + ------------ - -------- - --------------- - --------------- + ------------------- + log(cosh(x))|*sinh(x) | 2 2 2 2 3 | | 1 + cosh (x) cosh (x) / 2 \ / 2 \ / 2 \ | \ \1 + cosh (x)/ \1 + cosh (x)/ \1 + cosh (x)/ /
$$\left(\log{\left(\cosh{\left(x \right)} \right)} - \frac{\sinh^{2}{\left(x \right)}}{\cosh^{2}{\left(x \right)}} + 4 + \frac{1}{\cosh^{2}{\left(x \right)} + 1} - \frac{2 \sinh^{2}{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}} - \frac{6 \cosh^{2}{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{2}} + \frac{8 \sinh^{2}{\left(x \right)} \cosh^{2}{\left(x \right)}}{\left(\cosh^{2}{\left(x \right)} + 1\right)^{3}}\right) \sinh{\left(x \right)}$$
Gráfico